Method counter elimination

The left elimination method. The counter elimination method. Still using the framework of the right elimination method (formulae (10)-(15)) in reverse order, we obtain through such an analysis the computational formulae of the left elimination method ... 

Joint use of the left and right elimination methods refers to the counter elimination method. The essence of this method is to consider a fixed inner... 

Of course, the counter elimination method could be especially effective in an attempt to determine yi merely at only one node i = i. ... 

The left elimination method. The counter elimination method. Still... 

The hose couplings, buoyancy control (air pressure) and method of initiation (by Prima-cord) were the same as for the NOL Streamer in Use at that time. The only apparent weakness of the duPont streamer was that the pellets were broken to some extent by handling and counter mining. The disadvantage of the pellet load was largely eliminated by the EL development of a blend of flaked and grained TNT for use in the NOL canvas sock... 

In this method fluorescent intensities are calculated from first principles. The data needed for the calculation are (1) the spectral distribution (intensity vs. wavelength) of the primary beam from the x-ray tube, (2) mass absorption coefficients ju/p of all elements in the sample, and (3) fluorescent yields w of all elements. The calculations require that measured line intensities I from the unknown be converted into relative intensities R by comparison with pure metal standards. (Use of R rather than / values eliminates the need to know the wavelength-dependent efficiencies of reflection by the analyzing crystal and detection by the counter.)... 

As a result, we may view the orbital invariant SS-MRCEPA, termed by us as SS-MRCEPA(I) (I, for invariant), as the optimal approximation to the parent SS-MRCC method, which includes all the EPV terms exactly and which utilizes only those counter terms of the equations which eliminate the lack of extensivity of the attendant non-EPV terms in an orbital invariant manner [59]. In this article, we will present a couple of invariant SS-MRCEPA methods, viz. SS-MRCEPA(O) and SS-MRCEPA(I), for general open-shell systems using spin-free unitary generator adapted cluster operators starting from explicitly spin-free full-blown parent SS-MRCC formalism. Eor a detailed discussion of the allied issues pertaining to all the SS-MRCEPA-like methods, we refer to our recent SS-MRCEPA papers [58,59] and an earlier expose by Szalay [66]. 

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